The generator matrix

 1  0  0  1  1  1  X  1  1 X+2  1  1  X X+2  X  X  1  1  2  X  1  1  2  1  2  X  1  0  1  1  2  2  1  1  1  1  2  1  X  1  1  0  2  1  X  1  1  1  1  X  1  0 X+2 X+2  2  0  1  1
 0  1  0  X  1 X+3  1 X+2  0  2  1 X+1  1  1  X  1  1 X+2  0  1  0 X+3  1 X+3  1  1  X  1  0 X+3  X  1  3  X X+2 X+3 X+2  X  0  1 X+1  1  1  X  X X+1  0  2  0  1  1  1 X+2  1  1  X X+2 X+3
 0  0  1  1 X+3 X+2  1 X+3 X+2  1  1  0  X X+1  1  2  X  0  1  1 X+1  1  X  3  2 X+2  X X+3 X+3  0  1  1  0 X+2  1 X+3  1 X+1  1  3 X+1  0  3  0  1 X+1  3 X+2  X X+1  3  1  1 X+3 X+3  1  3  X
 0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  2  2  2  2  2  0  0  2  2  0  0  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  0  0  0  0  2
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  0  0  2  0  2  0  0  0  2  0  2  2  0  2  0  2  2  0  2  0  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  0  0  2  2  0  2  0  2  2  2  0  2  0  2  2  0  0  0  0  0  2  2  2  0  0  2  2  0  0  2  2  0  2  0  2  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  2  0  0  2  0  2  0  2  0  0  0  0  0  2  2  2  0  2  0  2  2  2  0  0  2  2  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  0  0  0  2  2  0  2  0  0  2  2  0  2  2  2  0  2  0  2  2  0  2  2  0  0  0  2  2  0  0  0  0  0  2  0  0  2  2  0  0  2

generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+44x^49+205x^50+386x^51+621x^52+790x^53+1038x^54+1298x^55+1425x^56+1534x^57+1679x^58+1632x^59+1412x^60+1418x^61+1062x^62+680x^63+463x^64+292x^65+213x^66+94x^67+35x^68+14x^69+20x^70+6x^71+7x^72+2x^73+7x^74+4x^76+2x^77

The gray image is a code over GF(2) with n=232, k=14 and d=98.
This code was found by Heurico 1.16 in 13.9 seconds.